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Finding the Fourth Proportional to 306.48, 458.40 and 257.28

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Solution

The fourth proportional to 306.48, 458.40 and 257.28 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 458.40 = 257.28 : x
  2. Step 2: Convert to fraction form
    306.48/458.40 = 257.28/x
  3. Step 3: Cross multiply
    306.48x = 458.40 × 257.28
  4. Step 4: Simplify right side
    306.48x = 117,937.15
  5. Step 5: Solve for x
    x = 117,937.15/306.48
  6. Step 6: Final answer
    x = 384.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.